A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Hölder continuity of omega-minimizers of functionals with generalized Orlicz growth
Tekijät: Harjulehto Petteri, Hästö Peter, Lee Mikyoung
Kustantaja: SCUOLA NORMALE SUPERIORE
Julkaisuvuosi: 2021
Journal: Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze
Tietokannassa oleva lehden nimi: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE
Lehden akronyymi: ANN SCUOLA NORM-SCI
Vuosikerta: 22
Numero: 2
Aloitussivu: 549
Lopetussivu: 582
Sivujen määrä: 34
ISSN: 0391-173X
DOI: https://doi.org/10.2422/2036-2145.201908_015
Rinnakkaistallenteen osoite: https://arxiv.org/pdf/1906.01866.pdf
Tiivistelmä
We show local Holder continuity of quasiminimizers of functionals with non-standard (Musielak-Orlicz) growth. Compared with previous results, we cover more general minimizing functionals and need fewer assumptions. We prove Harnack's inequality and a Morrey type estimate for quasiminimizers. Combining this with Ekeland's variational principle, we obtain local Holder continuity for omega-minimizers.
We show local Holder continuity of quasiminimizers of functionals with non-standard (Musielak-Orlicz) growth. Compared with previous results, we cover more general minimizing functionals and need fewer assumptions. We prove Harnack's inequality and a Morrey type estimate for quasiminimizers. Combining this with Ekeland's variational principle, we obtain local Holder continuity for omega-minimizers.
Turun yliopiston Tutkimustietojärjestelmän portaali